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1 1 Let S be the subspace of R° spanned by the vectors and 2 4 3 and let b 3 Find the point in S that is closest to b. 5 (If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.)

1 1 Let S be the subspace of R° spanned by the vectors and 2 4 3 and let b 3 Find the point in S that is closest to b. 5 (If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 Let S be the subspace of R° spanned by the vectors 1 and | 2 1 3 , and let b 3 Find the point in S that is closest to b. (If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.)
Transcribed Image Text:1 Let S be the subspace of R° spanned by the vectors 1 and | 2 1 3 , and let b 3 Find the point in S that is closest to b. (If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.)
Let S be the subspace of R° spanned by the vectors and 2 2 4 Find the matrix P for the orthogonal projection onto S. (If the entries of your matrix do not come out as whole numbers, round them to 4 decimal places.)
Transcribed Image Text:Let S be the subspace of R° spanned by the vectors and 2 2 4 Find the matrix P for the orthogonal projection onto S. (If the entries of your matrix do not come out as whole numbers, round them to 4 decimal places.)
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